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Finding the Fourth Proportional to 550.72, 757.76 and 509.36

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Solution

The fourth proportional to 550.72, 757.76 and 509.36 is: 700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.72 : 757.76 = 509.36 : x
  2. Step 2: Convert to fraction form
    550.72/757.76 = 509.36/x
  3. Step 3: Cross multiply
    550.72x = 757.76 × 509.36
  4. Step 4: Simplify right side
    550.72x = 385,972.63
  5. Step 5: Solve for x
    x = 385,972.63/550.72
  6. Step 6: Final answer
    x = 700.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.